The binary equivalent of 406 in base 10 is
110010110
To convert a decimal number to binary, you can follow these steps:
Step 1: Divide the decimal number by 2 and write down the remainder.
406 ÷ 2 = 203 remainder 0
Step 2: Divide the quotient from the previous step by 2 and write down the remainder.
203 ÷ 2 = 101 remainder 1
Step 3: Repeat Step 2 until the quotient becomes 0.
101 ÷ 2 = 50 remainder 1
50 ÷ 2 = 25 remainder 0
25 ÷ 2 = 12 remainder 1
12 ÷ 2 = 6 remainder 0
6 ÷ 2 = 3 remainder 0
3 ÷ 2 = 1 remainder 1
1 ÷ 2 = 0 remainder 1
Step 4: Write down the remainders in reverse order. This will be the binary equivalent of the decimal number.
406 in base 10 is equal to 110010110 in binary.